The concept of "additivity of volume" is defined by Amagat's law of partial volumes, which states that the partial extensive volumes of the components of a mixture sum to the total extensive volume of the mixture [Bejan2006, p. 194]. The components are assumed to each exist at the total pressure of the mixture.
This concept loses its physical meaning once the species are mixed [Woo1995]. If the species are truly mixed, then it is impossible to distinguish their particles and thus determine their partial volumes. Therefore, additivity of volume is only used for distinct phases within the same subregion—not for species within a phase. For example, if a system contains a solid phase and a gas phase, then it is assumed that the volumes of the phases are additive. Within each phase, the pressures of the species are added according to Dalton's law (see the Dalton connector).
In order to implement Amagat's law, this connector includes volume (not rate of volume) as a flow variable. The effort variable is pressure. This implies that the effort and flow variables are conjugates of energy (not power).
See also the Dalton connector and the documentation in the Connectors package.